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Finding the Fourth Proportional to 389,756.16, 537,863.20 and 210,908.16

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Solution

The fourth proportional to 389,756.16, 537,863.20 and 210,908.16 is: 291,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,756.16 : 537,863.20 = 210,908.16 : x
  2. Step 2: Convert to fraction form
    389,756.16/537,863.20 = 210,908.16/x
  3. Step 3: Cross multiply
    389,756.16x = 537,863.20 × 210,908.16
  4. Step 4: Simplify right side
    389,756.16x = 113,439,737,843.71
  5. Step 5: Solve for x
    x = 113,439,737,843.71/389,756.16
  6. Step 6: Final answer
    x = 291,053.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.